/usr/share/octave/packages/interval-2.1.0/@infsup/union.m is in octave-interval 2.1.0-2.
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##
## This program is free software; you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or
## (at your option) any later version.
##
## This program is distributed in the hope that it will be useful,
## but WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @documentencoding UTF-8
## @defmethod {@@infsup} union (@var{A})
## @defmethodx {@@infsup} union (@var{A}, @var{B})
## @defmethodx {@@infsup} union (@var{A}, [], @var{DIM})
##
## Build the interval hull of the union of intervals.
##
## With two arguments the union is built pair-wise. Otherwise the union is
## computed for all interval members along dimension @var{DIM}, which defaults
## to the first non-singleton dimension.
##
## Accuracy: The result is exact.
##
## @example
## @group
## x = infsup (1, 3);
## y = infsup (2, 4);
## union (x, y)
## @result{} ans = [1, 4]
## @end group
## @end example
## @seealso{@@infsup/intersect, @@infsup/setdiff, @@infsup/setxor}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-02
function a = union (a, b, dim)
if (not (isa (a, "infsup")))
a = infsup (a);
endif
switch (nargin)
case 1
l = min (a.inf);
u = max (a.sup);
case 2
if (not (isa (b, "infsup")))
b = infsup (b);
endif
l = min (a.inf, b.inf);
u = max (a.sup, b.sup);
case 3
if (not (builtin ("isempty", b)))
warning ("union: second argument is ignored");
endif
l = min (a.inf, [], dim);
u = max (a.sup, [], dim);
otherwise
print_usage ();
return
endswitch
a.inf = l;
a.sup = u;
endfunction
%!# from the documentation string
%!assert (union (infsup (1, 3), infsup (2, 4)) == infsup (1, 4));
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